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Ilia_Sergeevich [38]

4 years ago

9

What is the domain of a sine function?

2 answers:

Blizzard [7]4 years ago

7 0

Hello there!

The domain of the sine function is [-infinity, +infinity].

I hope this is the answer you were looking for. As always, it is my pleasure to help students like you!

Charra [1.4K]4 years ago

3 0

Answer: The domain of the sine function is (-∞, +∞).

Step-by-step explanation:

The domain of the function y = sin x is all real numbers (the sine is defined for any angle measure), and the range is −1 ≤ y ≤ 1.

So, the domain of the sine function is (-∞, +∞).

You might be interested in

Which of the following is the correct solution to the linear inequality shown below?

Georgia [21]

Correct answer is C.

Line $y=\frac{1}{3}x-2$ intersects y-axis at -2 and passes through the point (3,-1).

Line must be dashed, because the inequality sign is ">".

Point (0,0) must lie in the solution set because it satisfies inequality $y>\frac{1}{3}x-2$ .

$0\ \textgreater \ \frac{1}{3}\times 0-2
\\
\\0\ \textgreater \ -2$

5 0

3 years ago

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

3 years ago

Help! Picture attached

schepotkina [342]

Answer:

minimum maximum parabolas are equal then because of the circumference

Step-by-step explanation:

5 0

3 years ago

A rectangle ahs a long side of a length 8.5 cm its perimeter is 24cm work out the length of the shorter side

Phantasy [73]

Answer:

Width (length of shorter side) = 3.5 cm.

Step-by-step explanation:

L = 8.5 cm

perimeter, P = 24 cm

2(L+W) = 24

substitute L = 8.5

2(8.5+W) = 24

8.5 + W = 24/2 = 12

W = 12 - 8.5 = 3.5 cm

5 0

3 years ago

T he equation for a parabola with directrix y = –p and focus (0, p) is:

zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

3 0

3 years ago